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Finding the Fourth Proportional to 9,778.97, 14,653.37 and 6,603.98

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Solution

The fourth proportional to 9,778.97, 14,653.37 and 6,603.98 is: 9,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.97 : 14,653.37 = 6,603.98 : x
  2. Step 2: Convert to fraction form
    9,778.97/14,653.37 = 6,603.98/x
  3. Step 3: Cross multiply
    9,778.97x = 14,653.37 × 6,603.98
  4. Step 4: Simplify right side
    9,778.97x = 96,770,505.66
  5. Step 5: Solve for x
    x = 96,770,505.66/9,778.97
  6. Step 6: Final answer
    x = 9,895.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.